What is the derivative of 2x4 + 13x3 − 24x + √x ?

8x3 + 39x2 − 24 + (1/(2√x))

AP Calculus - Derivatives of all Functions Flashcards

1

What is the derivative of 5 / (x+1) ?

5 / x
1 / (5x+5)
5 / (x+1)2
−5 / (x+1)2

2

What is the derivative of √x ?

-1/x2
(1/2)(√x)
1/x2
1/(2√x)

3

What is the derivative of sec(x) ?

sec2(x)
-csc(x)
csc(x)
sec(x)tan(x)

4

What is the derivative of cot(x²) ?

(2x)csc2(x2)
−(2x)csc2(x2)
(2x)sec2(x2)
−csc(x2)cot(x2)

5

What is the derivative of 4^x?

x(4x)
4x
(4x)ln4
4(4x)

6

What is the derivative of ln(x) ?

x
1/x
1/ln(x)
ex

7

What is the derivative of x³+ 7x²− 56 ?

(x/3) + (7/2)x
3x3 + 14x2
3x2 + 14x − 1
3x2 + 14x

8

What is the derivative of f(g(x)) ?

f '(x)g'(x)
g'(f(x))f '(g(x))
f '(x) + g'(x)
f '(g(x))g'(x)

9

What is the derivative of (u) / (v) ?

[(vu') − (v'u)] / v2
[(vu') + (v'u)] / v2
[(u') − (v')] / v2
(v) / (u)

10

What is the derivative of tan(x) ?

xtan(x)
sin(x)cos(x)
tan2(x)
sec2(x)

11

What is the derivative of 2x⁴+ 13x³− 24x + √x ?

8x4 + 39x3 − 24x + (1/(2√x))
8x3 + 39x2 − 24 + (1/(2√x))
8x3 + 39x2 − 24 + (1/x2)
6x3 + 16x2 − 24 + (1/√x)

12

What is the derivative of (u)(v) ?

(u')(v')
(uv)/(u'v')
(uv')+(vu')
u'+v'

13

What is the derivative of cos(x) ?

tan(x)
sin(x)
−sin(x)
xcos(x)

14

What is the derivative of log₂(x) ?

(lnx) / (ln2)
(ln2) / (lnx)
1 / (xln2)
(x)(ln2)

15

What is the derivative of e^x?

xe
xex
xex-1
ex

AP Calculus - Derivatives of all Functions

Questions 15

AP Calculus - Derivatives of all Functions

Questions 15